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Consider the Following Calculations for a One-Way Analysis of Variance xˉ1\bar { x } _ { 1 }

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Consider the following calculations for a one-way analysis of variance from a completely randomized design with 4 groups and 5 observations per group.The response variable is sales in millions of dollars and four groups represent the four regions that the company serves.
MSE = 101.25, xˉ1\bar { x } _ { 1 } = 33, xˉ2\bar { x } _ { 2 } = 43, xˉ3\bar { x } _ { 3 } = 49, xˉ4\bar { x } _ { 4 } = 28
-Compute the Tukey simultaneous 95% confidence interval for all possible pairs of the 4 groups and interpret the result within the context of the question.


Definitions:

Central Cavity

A hollow space within an organ or structure, often found in sponges and coelenterates, serving various physiological functions.

Asymmetry

The absence of symmetry or equality in size, shape, or relative position of parts on opposite sides of a dividing line or plane.

Radial Symmetry

A symmetrical arrangement of parts around a central axis, as seen in many marine organisms, allowing them to interact with their environment from all directions.

Bilateral Symmetry

Body plan having two corresponding or complementary halves.

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